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In this paper we discuss techniques, which lead to a significant improvement of the efficiency of the Monte Carlo integration, when one-loop QCD amplitudes are calculated numerically with the help of the subtraction method and contour…

High Energy Physics - Phenomenology · Physics 2015-06-05 Sebastian Becker , Christian Reuschle , Stefan Weinzierl

We present a simple way of separating the overlap between the soft and collinear factorization formulae of QCD squared matrix elements. We check its validity explicitly for single and double unresolved emissions of tree-level processes. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zoltan Nagy , Gabor Somogyi , Zoltan Trocsanyi

One- and two-jet inclusive quantities in hadron collisions have already been calculated to next-to-leading order accuracy, using both the subtraction and the cone method. Since the one-loop corrections have recently been obtained for all…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Frixione , Z. Kunszt , A. Signer

We report on a new fully differential calculation of the next-to-next-to-leading-order (NNLO) QCD radiative corrections to the production of top-quark pairs at hadron colliders. The calculation is performed by using the $q_T$ subtraction…

High Energy Physics - Phenomenology · Physics 2019-09-04 Stefano Catani , Simone Devoto , Massimiliano Grazzini , Stefan Kallweit , Javier Mazzitelli

The calculation of exclusive cross sections at next-to-next-to-leading order (NNLO) in QCD requires an analytic understanding of the infrared singular structure with up to two unresolved partons. This has so far only been achieved for…

High Energy Physics - Phenomenology · Physics 2024-08-22 Thomas Gehrmann , Markus Löchner

We calculate the complete double logarithmic contribution to cross sections for semi-inclusive hadron production in the modified minimal-subtraction scheme by applying dimensional regularization to the double logarithm approximation. The…

High Energy Physics - Phenomenology · Physics 2011-07-06 S. Albino , P. Bolzoni , B. A. Kniehl , A. Kotikov

The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in $\alpha_s$ (NNLO). We propose an algorithm for building antenna functions…

High Energy Physics - Phenomenology · Physics 2024-12-06 Oscar Braun-White , Nigel Glover , Christian T Preuss

In this talk we present the recent calculation in all partonic channels of the fully differential single jet inclusive cross section at Next-to-Next-to-Leading Order in QCD. We discuss the size and shape of the perturbative corrections as a…

High Energy Physics - Phenomenology · Physics 2017-05-24 James Currie , E. W. N. Glover , Aude Gehrmann-De Ridder , Thomas Gehrmann , Alexander Huss , Joao Pires

We extend the antenna subtraction method to include hadron fragmentation processes up to next-to-next-to-leading order (NNLO) in QCD in $e^+e^-$ collisions. To handle collinear singularities associated with the fragmentation process, we…

High Energy Physics - Phenomenology · Physics 2022-11-09 Thomas Gehrmann , Giovanni Stagnitto

We report on the sector decomposition approach to the double real radiation part of e^+e^- to 3 jets at NNLO.

High Energy Physics - Phenomenology · Physics 2009-11-11 G. Heinrich

The inclusive four-particle phase space integral of any $1\to 4$ matrix element in massless QCD contains divergences due to the soft and collinear emission of up to two particles in the final state. We show that any term appearing in this…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gehrmann-De Ridder , T. Gehrmann , G. Heinrich

Uncertainties in the NLO calculation of the inclusive jet cross section due to the choice of renormalization scale, parton distribution functions and clustering algorithm are explored. These are found to be similar in size to the current…

High Energy Physics - Phenomenology · Physics 2011-09-13 B. Abbott , I. A. Bertram , M. Bhattacharjee , G. Di Loreto , V. D. Elvira , R. Hirosky , T. Joffe-Minor , J. Krane , F. Nang

We review the status of NNLO calculations for jet cross sections at the LHC. In particular, we describe how perturbative stability and convergence can be used as criteria to select the most appropriate scales in the theoretical description…

High Energy Physics - Phenomenology · Physics 2018-07-18 James Currie , Aude Gehrmann-De Ridder , Thomas Gehrmann , Nigel Glover , Alexander Huss , Joao Pires

We present the extension of the completely local subtraction scheme CoLoRFulNNLO to color-singlet production in hadron collisions. We provide explicit momentum mappings and the complete set of double-real counterterms required for this…

High Energy Physics - Phenomenology · Physics 2025-12-08 Vittorio Del Duca , Gábor Somogyi , Francesco Tramontano

In this talk, we discuss the speed-up of numerical calculations of jet observables by replacing the usual sum over all helicity amplitudes with an integral over a parametrisation for the parton polarisations called random polarisations.…

High Energy Physics - Phenomenology · Physics 2013-11-25 Daniel Goetz , Christopher Schwan , Stefan Weinzierl

We examine properties of small-radius jets, focusing on phenomenological applications to the inclusive jet spectrum. We match fixed-order calculations with the leading-logarithmic resummation of the jet radius (LL$_R$), and propose a new…

High Energy Physics - Phenomenology · Physics 2016-06-13 Frédéric A. Dreyer

We determine approximate next-to-next-to-leading order (NNLO) corrections to unpolarized and polarized semi-inclusive DIS. They are derived using the threshold resummation formalism, which we fully develop to next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2022-03-16 Maurizio Abele , Daniel de Florian , Werner Vogelsang

We present the calculations of the complete next-to-leading order (NLO) QCD corrections (including supersymmetric QCD) to the inclusive total cross sections of the associated production processes $pp\to A^0Z^0+X$ in the Minimal…

High Energy Physics - Phenomenology · Physics 2009-11-11 Qiang Li , Chong Sheng Li , Jian Jun Liu , Li Gang Jin , C. -P. Yuan

We consider direct diphoton production in hadron collisions, and we compute the next-to-next-to-leading order (NNLO) QCD radiative corrections at the fully-differential level. Our calculation uses the $q_T$ subtraction formalism and it is…

High Energy Physics - Phenomenology · Physics 2016-06-27 Stefano Catani , Leandro Cieri , Daniel de Florian , Giancarlo Ferrera , Massimiliano Grazzini

We present a study of higher order QCD corrections beyond NLO to processes with an electroweak vector boson, W or Z, in association with jets. We focus on the regions of high transverse momenta of commonly used differential distributions.…

High Energy Physics - Phenomenology · Physics 2015-06-16 Daniel Maître , Sebastian Sapeta